Multiple choice

If 2 kg of metal, of which (\frac{1}{3}) is zinc and the rest is copper be mixed with 3 kg of metal of which (\frac{1}{4}) is zinc and the rest is copper, if both are mixed then what is the ratio of zinc to copper in the mixture?

  1. $2:3$
  2. $3:2$
  3. $43:17$
  4. $17:43$
  5. $15:17$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First metal: 2 kg with (1/3) zinc = 2/3 kg zinc, (2/3) copper = 4/3 kg copper. Second metal: 3 kg with (1/4) zinc = 3/4 kg zinc, (3/4) copper = 9/4 kg copper. Total zinc = 2/3 + 3/4 = 17/12 kg. Total copper = 4/3 + 9/4 = 43/12 kg. Ratio zinc:copper = (17/12):(43/12) = 17:43.

Keep practicing — related questions